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Finding the Third Proportional to 379,441.69 and 774,125.02

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Solution

The third proportional to 379,441.69 and 774,125.02 is: 1,579,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,441.69 : 774,125.02 = 774,125.02 : x
  2. Step 2: Convert to fraction form
    379,441.69/774,125.02 = 774,125.02/x
  3. Step 3: Cross multiply
    379,441.69x = 774,125.02 × 774,125.02
  4. Step 4: Simplify right side
    379,441.69x = 599,269,539,816.41
  5. Step 5: Solve for x
    x = 599,269,539,816.41/379,441.69
  6. Step 6: Final answer
    x = 1,579,345.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.